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Finding the Fourth Proportional to 54,383.95, 75,050.58 and 30,509.20

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Solution

The fourth proportional to 54,383.95, 75,050.58 and 30,509.20 is: 42,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,383.95 : 75,050.58 = 30,509.20 : x
  2. Step 2: Convert to fraction form
    54,383.95/75,050.58 = 30,509.20/x
  3. Step 3: Cross multiply
    54,383.95x = 75,050.58 × 30,509.20
  4. Step 4: Simplify right side
    54,383.95x = 2,289,733,155.34
  5. Step 5: Solve for x
    x = 2,289,733,155.34/54,383.95
  6. Step 6: Final answer
    x = 42,103.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.